This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.
%I A375630 #10 Aug 22 2024 09:17:00
%S A375630 1,2,4,14,88,572,4024,37298,404464,4601528,58426864,846080798,
%T A375630 13209174136,219868220756,3981563464792,77708414601098,
%U A375630 1606665377716576,35246223612156272,821962294211430496,20227931586257247542,522932344617513862696,14204133017700173041292
%N A375630 Expansion of e.g.f. exp(2*x) / (1 - x^3 * exp(x)).
%F A375630 a(n) = n! * Sum_{k=0..floor(n/3)} (k+2)^(n-3*k)/(n-3*k)!.
%o A375630 (PARI) my(N=30, x='x+O('x^N)); Vec(serlaplace(exp(2*x)/(1-x^3*exp(x))))
%o A375630 (PARI) a(n) = n!*sum(k=0, n\3, (k+2)^(n-3*k)/(n-3*k)!);
%Y A375630 Cf. A368265, A375629.
%Y A375630 Cf. A358081, A375610.
%K A375630 nonn
%O A375630 0,2
%A A375630 _Seiichi Manyama_, Aug 21 2024